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An 12 constrained best approximation problem |
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| Authors: | Ts Tsachev |
| Institution: | Dept. of Mathematics , Higher Mining and Geological Institute , Sofia, Bulgaria |
| Abstract: | A problem of minimizing a quadratic function over the unit ball of l2is considered,the motivation being a minimum norm problem for the heat equation controlled by the constrained initial condition. A constructive method for finding an ?-solution is developed and its convergence rate is estimated. The dependence of the solution, on the data is studied. |
| Keywords: | Nonlinear ill-posed problems iterative reguarization methods Broyden's method stopping rule convergence rates 65J15 65J20 47H17 65R30 |